A medical researcher in Calgary is interested in comparing the average HDL level

Question

A medical researcher in Calgary is interested in comparing the average HDL levels of cholesterol for male adults in Alberta, Canada, across four age groups. Group 1 = 20 to less than 30 years old. Group 2 30 to less than 40 years old. Group 3 40 to less than 50 years old, and Group 4 5010 less than 60 years old. Thus the researcher is interested in learning about the four population mean HDL levels ? where i = 1, 2, 3, and 4 for the four respective age groups. A sample of 25 adult males from each age category is selected from the medical registry that is maintained in Calgary. The most recent HDL level for each selected adult male was recorded. Question 3 Subquestions The initial ANOVA will assess if the population mean HDL levels are the same across the four age group populations, namely, Ho ?,-?,-Hs = ? which of the following is the correct and complete alternative hypothesis?Ha 1 point(s) The population mean HDL levels are all different. At least one mean is different D At least one population mean HDL level is different. 3.b 1 point(s) True/False: Each of the four samples of 25 adult males needs to be considered a random sample, representative of the corresponding four populations, so the results from these samples can be used to infer to these four populations. True False TrueFalse: An assumption that is needed for the ANOVA results to be valild is that the samples of HDL levels have the same varlance 1 point(s) True False 3.d 2 point(s) Which of the following are appropriate ways to use your data to assess the equal variance' assumption that is needed for ANOVA? Select all that are appropriate ? Check that the tour sample standard deviations tor HDL levels are similar, that is, the largest standard deviation ts not more than twice the smallest standard devlation. ? Examine side-by-side boxplots for the four samples of HDL levels and assess if the IQRs (length of the boxes) and the overall ranges are similar. Use R to conduct Levene's test and check that the resulting p-value is small enough, less than 0.10. In examining the data graphically, there was one very low outlier in Group 1 (20 to less than 30 year olds). It was found that this level was not even a possible HDL level, but no replacement level was available. Thus this one value was removed from Group 1 for a sample size of 24 for this age group The ANOVA was conducted and the resulting F test statistic value was 3.4 and the correponding p-value is 0.0209. Which of the following distributions was used to find this p-value? 2 pointrs) N(0,1) distribution t3) distribution F(3,95) distribution

Explanation / Answer

3. a) The population mean HDL levels are all different.

b) True

c) True

d) F(3.95) distribution

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